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Structural Engineering and Mechanics Volume 51, Number 2, July25 2014 , pages 349-360 DOI: https://doi.org/10.12989/sem.2014.51.2.349 |
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Accurate analytical solutions for nonlinear oscillators with discontinuous |
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Mahdi Bayat, Mahmoud Bayat and Iman Pakar
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| Abstract | ||
| In this study, three approximate analytical methods have been proposed to prepare an accurate analytical solution for nonlinear oscillators with fractional potential. The basic idea of the approaches and their applications to nonlinear discontinuous equations have been completely presented and discussed. Some patterns are also presented to show the accuracy of the methods. Comparisons between Energy Balance Method (EBM) , Variational Iteration Method (VIM) and Hamiltonian Approach (HA) shows that the proposed approaches are very close together and could be easily extend to conservative nonlinear vibrations. | ||
| Key Words | ||
| natural frequency; nonlinear oscillators; discontinuities; perturbation method | ||
| Address | ||
| Mahdi Bayat, Mahmoud Bayat : Department of Civil Engineering, College of Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran Iman Pakar : Young Researchers and Elites Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran | ||